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30 September, 12:29

A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the width of the base enter the volume in cubic inches of the fish tank

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  1. 30 September, 15:24
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    Using the given information find the length and width of the base:

    Perimeter = 2L + 2W

    L = 3W

    Replace L in the first equation:

    Perimeter = 2 (3W) + 2w

    96 = 2 (3W) + 2W

    Simplify:

    96 = 6W + 2W

    96 = 8w

    Divide both sides by 8:

    w = 96 / 8

    w = 12

    The width is 12 inches.

    The length = 3 x 12 = 36 inches.

    Volume = L x W X H

    Volume = 36 x 12 x 14

    Volume = 6,048 cubic inches.
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